In the figure below, CD and EF are the common external tangents to the circles A and B. CF intersects the circles A and B at G and H, respectively. Prove that the chords CG and HF are congruent.
               This entry 
				contributed by Markus Heisss, Wurzburg, Bavaria. Published in: 
				"Die Wurzel - Zeitschrift fur Mathematik", Dec. 2005, 
				www.wurzel.org.
 
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						Chord
			
			Congruence
              
		                
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